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Finding the Fourth Proportional to 82,596.20, 123,899 and 23,427.19

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Solution

The fourth proportional to 82,596.20, 123,899 and 23,427.19 is: 35,142.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,596.20 : 123,899 = 23,427.19 : x
  2. Step 2: Convert to fraction form
    82,596.20/123,899 = 23,427.19/x
  3. Step 3: Cross multiply
    82,596.20x = 123,899 × 23,427.19
  4. Step 4: Simplify right side
    82,596.20x = 2,902,605,413.81
  5. Step 5: Solve for x
    x = 2,902,605,413.81/82,596.20
  6. Step 6: Final answer
    x = 35,142.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.